Finiteness properties and homological dimensions of Skew Group rings

Autor:	Gubitosi, Viviana, Parra, Rafael
Rok vydání:	2022
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	Let $G$ be a finite group acting on a ring $R$ and $H$ a subgroup of $G$. In this paper we compare some homological dimensions over the skew group rings $RG$ and $RH$. Moreover, under the assumption that $RG$ is a separable extension over $RH$, we show that the skew group rings $RG$ and $RH$ share some properties such as being $n$-Gorenstein, $n$-perfect, $n$-coherent, $(n,d)$, Ding-Chen or IF-rings.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.10599 Zobrazit plný text záznamu View this record from Arxiv